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Finding the Fourth Proportional to 465,957.84, 698,821.20 and 199,688.16

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Solution

The fourth proportional to 465,957.84, 698,821.20 and 199,688.16 is: 299,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,957.84 : 698,821.20 = 199,688.16 : x
  2. Step 2: Convert to fraction form
    465,957.84/698,821.20 = 199,688.16/x
  3. Step 3: Cross multiply
    465,957.84x = 698,821.20 × 199,688.16
  4. Step 4: Simplify right side
    465,957.84x = 139,546,319,596.99
  5. Step 5: Solve for x
    x = 139,546,319,596.99/465,957.84
  6. Step 6: Final answer
    x = 299,482.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.